EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS TO A FOURTH-ORDER DEGENERATE PARABOLIC EQUATION

BO LIANG; MEISHAN WANG; YING WANG

doi:10.4134/bkms.2015.52.4.1059

EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS TO A FOURTH-ORDER DEGENERATE PARABOLIC EQUATION

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2015.52.4.1059 ◽

2015 ◽

Vol 52 (4) ◽

pp. 1059-1068

Author(s):

BO LIANG ◽

MEISHAN WANG ◽

YING WANG

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Order Degenerate ◽

Degenerate Parabolic

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Large Time Behavior of Solutions to the Neumann Problem for a Quasilinear Second Order Degenerate Parabolic Equation in Domains with Noncompact Boundary

Journal of Differential Equations ◽

10.1006/jdeq.2000.3948 ◽

2001 ◽

Vol 174 (2) ◽

pp. 253-288 ◽

Cited By ~ 19

Author(s):

D. Andreucci ◽

G.R. Cirmi ◽

S. Leonardi ◽

A.F. Tedeev

Keyword(s):

Parabolic Equation ◽

Neumann Problem ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Noncompact Boundary ◽

Order Degenerate ◽

Degenerate Parabolic ◽

The Neumann Problem

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Large time behavior of solutions to a degenerate parabolic equation not in divergence form

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.07.018 ◽

2011 ◽

Vol 373 (1) ◽

pp. 252-263 ◽

Cited By ~ 3

Author(s):

Shuangshuang Zhou ◽

Xueli Bai ◽

Sining Zheng

Keyword(s):

Parabolic Equation ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Divergence Form ◽

Time Behavior ◽

Degenerate Parabolic

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Global existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and source

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-013-0337-x ◽

2013 ◽

Vol 65 (3) ◽

pp. 471-486 ◽

Cited By ~ 2

Author(s):

Pan Zheng ◽

Chunlai Mu

Keyword(s):

Parabolic Equation ◽

Global Existence ◽

Life Span ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Inhomogeneous Density ◽

Degenerate Parabolic

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Large time behavior of free boundary for a degenerate parabolic equation with absorption

Nonlinear Analysis ◽

10.1016/j.na.2011.04.072 ◽

2011 ◽

Vol 74 (15) ◽

pp. 5069-5080 ◽

Cited By ~ 1

Author(s):

Jiaqing Pan

Keyword(s):

Parabolic Equation ◽

Free Boundary ◽

Degenerate Parabolic Equation ◽

Large Time ◽

Large Time Behavior ◽

Time Behavior ◽

Degenerate Parabolic

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A Fourth-order Degenerate Parabolic Equation with Variable Exponent

Journal of Partial Differential Equations ◽

10.4208/jpde.v22.n4.6 ◽

2009 ◽

Vol 22 (4) ◽

pp. 376-392 ◽

Cited By ~ 2

Author(s):

Zhang Chao and Zhou Shulin

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Variable Exponent ◽

Degenerate Parabolic Equation ◽

Order Degenerate ◽

Degenerate Parabolic

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A fourth-order degenerate parabolic equation describing thin viscous flows over an inclined plane

Applied Mathematics Letters ◽

10.1016/s0893-9659(99)00130-5 ◽

1999 ◽

Vol 12 (8) ◽

pp. 107-111 ◽

Cited By ~ 13

Author(s):

L. Giacomelli

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Degenerate Parabolic Equation ◽

Viscous Flows ◽

Inclined Plane ◽

Order Degenerate ◽

Degenerate Parabolic

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On a fourth order degenerate parabolic equation in higher space dimensions

Journal of Mathematical Physics ◽

10.1063/1.3272788 ◽

2009 ◽

Vol 50 (12) ◽

pp. 123524 ◽

Cited By ~ 4

Author(s):

Junjie Li

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Degenerate Parabolic Equation ◽

Order Degenerate ◽

Degenerate Parabolic

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Source Type Solutions of a Fourth Order Degenerate Parabolic Equation

Journal of Partial Differential Equations ◽

10.4208/jpde.v22.n3.2 ◽

2009 ◽

Vol 22 (3) ◽

pp. 205-217

Author(s):

Liu Changchun

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Degenerate Parabolic Equation ◽

Source Type ◽

Order Degenerate ◽

Degenerate Parabolic

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A note on a fourth order degenerate parabolic equation in higher space dimensions

Mathematische Annalen ◽

10.1007/s00208-007-0113-3 ◽

2007 ◽

Vol 339 (2) ◽

pp. 251-285 ◽

Cited By ~ 1

Author(s):

Junjie Li

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Degenerate Parabolic Equation ◽

Order Degenerate ◽

Degenerate Parabolic

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On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141096306170 ◽

1998 ◽

Vol 29 (2) ◽

pp. 321-342 ◽

Cited By ~ 103

Author(s):

Roberta Dal Passo ◽

Harald Garcke ◽

Günther Grün

Keyword(s):

Parabolic Equation ◽

Fourth Order ◽

Degenerate Parabolic Equation ◽

Qualitative Behavior ◽

Order Degenerate ◽

Degenerate Parabolic ◽

Entropy Estimates

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